Question

A 5-m-wide cloth is used to make a conical tent of base diameter 14 m
and height 24 m. Find the cost of cloth used at the rate of rupees 25 per metre.​


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Answer 1

$\rm\bf\underline{Question::}$

A 5-m-wide cloth is used to make a conical tent of base diameter 14 m

and height 24 m. Find the cost of cloth used at the rate of rupees 25 per metre.

$\rm\bf\underline{Answer:}$

= Rs. 2750

$\rm\bf\underline{Solution:}$

Let the slant height of the cone be 'l' meters.

height = 24 m and diameter = 14 m or radius = 7 m.

Then according to the question.

l² = h² + r²

l² = 24² + 7²

l² = 576 + 49

l² = 625

l = √625

l = 25 m

So, the slant height of the cone is 25 m.

Now,

Curved Surface Area of the cone = πrl

= 22/7*7*25

CSA = 550 sq m

Now, length of the cloth used = Area/ width of the cloth

= 550/5

Length of the cloth used = 110 m

Cost of cloth = Rs. 25 per meter

Total cost of clothe used = 110*25

= Rs. 2750

Answer.